Neuware - This book summarizes the main analytical and numerical results of Carleman estimates. In the analytical part, Carleman estimates for three main types of Partial Differential Equations (PDEs) are derived. In the numerical part, first numerical methods are proposed to solve ill-posed Cauchy problems for both linear and quasilinear PDEs. Next, various versions of the convexification method are developed for a number of Coefficient Inverse Problems.

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Bibliographic Details

Title: Inverse Problems and Carleman Estimates : Global Uniqueness, Global Convergence and Experimental Data
Publisher: De Gruyter
Publication Date: 2021
Language: English
ISBN 10: 3110745410
ISBN 13: 9783110745412
Binding: Buch
Condition: Neu
Dimensions: 240 millimeters width by 170 millimeters height by 36 millimeters depth
Weight: 732 grams

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Synopsis

This book summarizes the main analytical and numerical results of Carleman estimates. In the analytical part, Carleman estimates for three main types of Partial Differential Equations (PDEs) are derived. In the numerical part, first numerical methods are proposed to solve ill-posed Cauchy problems for both linear and quasilinear PDEs. Next, various versions of the convexification method are developed for a number of Coefficient Inverse Problems.

About the Author

M. V. Klibanov, University of North Carolina, USA; Jingzhi Li, Southern University of Science and Technology, China.

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